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Asset Analytics Performance and Safety Management Series Editors: Ajit Kumar Verma · P. K. Kapur · Uday Kumar Arabinda Tripathy Rabi Narayan Subudhi Srikanta Patnaik Jyotiranjan Nayak Editors Operations Research in Development Sector Asset Analytics Performance and Safety Management Series editors Ajit Kumar Verma, Western Norway University of Applied Sciences, Haugesund, Rogaland Fylke, Norway P.K.Kapur,CenterforInterdisciplinaryResearch,AmityUniversity,Noida,India Uday Kumar, Division of Operation and Maintenance Engineering, Luleå University of Technology, Luleå, Sweden The main aim of this book series is to provide a floor for researchers, industries, assetmanagers,governmentpolicymakersandinfrastructureoperatorstocooperate and collaborate among themselves to improve the performance and safety of the assets with maximum return on assets and improved utilization for the benefit of society and the environment. Assets can be defined as any resource that will create value to the business. Assets include physical (railway, road, buildings, industrial etc.), human, and intangible assets (software, data etc.). The scope of the book series will be but not limited to: (cid:129) Optimization, modelling and analysis of assets (cid:129) Application of RAMS to the system of systems (cid:129) Interdisciplinaryandmultidisciplinaryresearchtodealwithsustainabilityissues (cid:129) Application of advanced analytics for improvement of systems (cid:129) Applicationofcomputationalintelligence,ITandsoftwaresystemsfordecisions (cid:129) Interdisciplinary approach to performance management (cid:129) Integrated approach to system efficiency and effectiveness (cid:129) Life cycle management of the assets (cid:129) Integrated risk, hazard, vulnerability analysis and assurance management (cid:129) Adaptability of the systems to the usage and environment (cid:129) Integration of data-information-knowledge for decision support (cid:129) Production rate enhancement with best practices (cid:129) Optimization of renewable and non-renewable energy resources More information about this series at http://www.springer.com/series/15776 Arabinda Tripathy Rabi Narayan Subudhi (cid:129) Srikanta Patnaik Jyotiranjan Nayak (cid:129) Editors Operations Research in Development Sector 123 Editors Arabinda Tripathy Srikanta Patnaik VinodGupta Schoolof Management Department ofComputer Science Indian Institute of Technology Kharagpur andEngineering Kharagpur, India Siksha‘O’ AnusandhanUniversity Bhubaneswar, Odisha RabiNarayan Subudhi India Schoolof Management KIIT University Jyotiranjan Nayak Bhubaneswar, India Department ofMathematics, Faculty ofScience andTechnology ICFAI Foundationof Higher EducationUniversity Hyderabad, India ISSN 2522-5162 ISSN 2522-5170 (electronic) AssetAnalytics ISBN978-981-13-1953-2 ISBN978-981-13-1954-9 (eBook) https://doi.org/10.1007/978-981-13-1954-9 LibraryofCongressControlNumber:2018950788 ©SpringerNatureSingaporePteLtd.2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSingaporePteLtd. Theregisteredcompanyaddressis:152BeachRoad,#21-01/04GatewayEast,Singapore189721, Singapore Preface Thepapersinthisbookhavebeenselectedfromamongthosepresentedatthe48th convention of the Operational Research Society of India (ORSI) organised at Bhubaneswar, Odisha, India, during 17–19 December 2015. The theme of the conference was Operations Research in Development Sector. More than 100 abstracts were received for presentation at the conference. Out of these, over 80 paperswerepresentedattheconference.Atotalof8papershavebeenselectedfor this book after a rigorous peer review. As in most Operational Research (OR)conventions,largenumbersofpapersaretechniquerelatedandfewwithsome applications. Though the convention theme was focussed on the development sector, hardly any paper could qualify for the same. The relevance of Operational Research for Development has been recognised fromthe1950s.TheuseofOperationalResearchforPlanningwasusedfornational planning in India by Prof. Mahalanobis in the mid-1950s. Recognising its impor- tance, the International Federation of Operational Research Societies (IFORS) organised the First International Conference on Operational Research for Development (ICORD) in 1992 at Ahmedabad, India. Now, ICORD is organised every year in a workshop format. Operational Research originated with the focus on problem-solving. One of the essentialrequirementsforeffectiveproblem-solvingistohaveenoughclarityonthe problem itself. In addition, in a problem-solving environment, there are many stakeholders. Every stakeholder has their own perspective while dealing with a problem, which hinders the problem-solving process. It helps to have a common understandingoftheproblemendorsedbyallstakeholders. Thisthoughtledtothe developmentofSoftOR.WhileHardORdealswithvarioustechniquesandORtools, SoftORdealswiththestakeholders’perspectivesingettingacommonunderstanding oftheproblemfacilitatingthesolutionprocess.Anyproblemcanbethoughttohave the following characteristics—number of actors/stakeholders, diversity of perspec- tives,conflictinginterests/objectives,uncertaintyandsuchothers. Additionally,problemsinthedevelopmentdomainaresubstantiallymessy;that is., clarity oftheproblems andobjectives/outcomes tobepursuedaresubstantially ambiguous, and the relationship between various elements is complex. v vi Preface Aschematicproblem-solvingmodelispresentedbelowshowingtheroleofSoft and Hard ORs. As presented in the diagram of the model, Operational Research is concernedwiththereal-lifeproblemsandtofindanimplementablesolution.Usually, aHardORapproachistakentoaddresstheproblemwith(ingeneral)sophisticatedOR tools and techniques. After analysing and evaluating various alternatives, the most desirable one (a so-called optimal solution) is recommended for implementation. Typically,thatmarkstheendoftheinitiative.Thestakeholders,whoaretoimplement therecommendedsolution,donotshowenoughenthusiasminimplementation.This islargelyduetothefactthattheconcernsofthestakeholdersareseldomtakeninto consideration.Thisoftenresultsindifficultyinimplementation,orinsomecases,the recommendationdoesnothavemuchoftherelevanceinaddressingtheissues.This had prompted Prof. Ackoff1 to come up with Future of OR is Past in the 1970s. Subsequently,aseriesofnewinitiativesofproblem-structuringmethodswereusedto getabetterunderstandingoftheproblem.ThesemethodsaretheessenceofSoftOR. SoftORaimsatachievingacommonandin-depthunderstandingoftheproblembyall stakeholders.This,inturn,facilitatesproblem-solving. Asinthediagram,inanORproblem-solvingsituation,bothSoftORandHardOR haveroles.Theextenttowhicheachofthesewillbeusedinaparticularproblematic situation depends on the nature of the problem. In the development-related issues, Soft ORhas asignificant importanceduetocomplexity, multiple stakeholdersand messy nature. This necessitates a different framework to look at OR in the devel- opment sector. These frameworks and approaches are deliberated rather less. This resultsinrelativelylessorhardlyanycoverageofORinthedevelopmentsectorin mostconferencesonOR. SCHEMETIC PROBLEM SOLVING MODEL Real Life Problem Structuring Problem Methods Model Alternative Generation Analysis Solution & to Implem- Acceptable Selection Evaluation Problem entation Alternative Criteria of Alternatives Real Soft O.R. Hard O.R. World 1“TheFutureofOperationalResearchisPast”RussellL.Ackoff;TheJournaloftheOperational ResearchSociety,Vol.30,No.2,(Feb.1979)pp93–104. Preface vii In the present volume, eight papers are included in the constituent chapters. Thesehavebeenselectedfrom84paperspresentedattheconference.Thechapters have been grouped into three categories: theory and methodology; inventory and stochastic processes; and application in industry, government, agriculture and engineering. In the category of theory and methodology, three chapters are in the area of linear programming and its variation by Pradhan and Biswal, Nayak and Mishra, and Dash and Acharya. Pradhan and Biswal deal with a linear programming problem with additional constraints (conditions) relating to randomness, while Nayak and Mishra deal with some duality aspects in non-convex programming problem. In the category of inventory and stochastic processes, Kumar deals with inventoryissuesinfluencedbytradecreditswhileintroducingnewproducts.Sahoo and Dash deal with the effect of type 1 fuzzy set in chance-constrained single- period inventory model. Kozlovskaya et al. deal with an interesting situation of re-manufacturing and parts dismantling on the EOQ model. In the final section of application in industry, government, agriculture and engineering, Jain and Dharmaraja carry out a mathematical review of the prob- lematic area of crop insurance in India. Singh et al. address the adoption issues in e-governance initiatives in the Income Tax Department of India. Onthewhole,thebookprovidesaglimpseoftheareasandthetypeofworkthe operationalresearchersareengagedinatthemoment.Itwillalsoprovideinputsto thepresent-dayoperationalresearchersthestatusandwayaheadforfurtherworkon contemporary issues. We would like to thank Prof. Manojranjan Nayak, Founder of Siksha ‘O’ Anusandhan (SOA), for his continuous support for this endeavour. For the preparation of the manuscript and correspondence, we thank Mitali Madhusmita Nayak(SOA)andRajeshGudepuandSrinivasChary(ICFAIFoundationofHigher Education,Hyderabad,India).Lastly,wethankSpringerforthepublicationofthis volume. Bhubaneswar, India Arabinda Tripathy November 2017 Rabi Narayan Subudhi Srikanta Patnaik Jyotiranjan Nayak Contents Trade Credit Induced Inventory Model for New Products. . . . . . . . . . . 1 Alok Kumar Solving a Chance-Constrained Single-Period Inventory Model with Type-1 Fuzzy Set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Anuradha Sahoo and J. K. Dash Multi-objective Multi-choice Random Linear Programming Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Avik Pradhan and M. P. Biswal Symmetric Duality and Complementarity in Non-Convex Programming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Jyotiranjan Nayak and Sasmita Mishra An EOQ Inventory Model with Remanufacturing and Dismantling for Parts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Nadezhda Kozlovskaya, Nadezhda Pakhomova and Knut Richter Computation of Multi-choice Multi-objective Fuzzy Probabilistic Transportation Problem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 Narmada Ranarahu, J. K. Dash and S. Acharya Crop Insurance in India: A Mathematical Review. . . . . . . . . . . . . . . . . 97 Vidyottama Jain and S. Dharmaraja Adoptionofe-GovernmentServices:ACaseStudyone-FilingSystem of Income Tax Department of India. . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 Harjit Singh, Arpan Kumar Kar and P. Vigneswara Ilavarasan ix About the Editors Arabinda Tripathy is a retired professor from the Vinod Gupta School of Management, Indian Instititute of Technology Kharagpur. He has also served as Deanoftheschool.HeobtainedhisPh.D.degreeinOperationalResearchfromthe London School of Economics. His areas of specialisation include operations man- agement,operationalresearch,quantitativetechniques,andprojectmanagement.He movedtoacademicsafterworkinginindustryforover12years.HetaughtatIndian Institute of Management Ahmedabad for nearly 25 years. He also launched a master’s level course on Operational Research for Development and taught at the UniversityofCapeTown,SouthAfrica.HewastheFounderDirectoroftheInstitute of Petroleum Management, Gandhinagar, India and the L&T Institute of Project Management,Vadodara,India.Hehaspublishedseveralresearchpapersinvarious national and international journals. He served as President of the Operational Research Society of India (ORSI) and as Editor-in-Chief of ORSI’s journal OPSEARCH. He also served as Editor of Developing Countries Newsletter of IFORS. He received the IFORS Developing Countries Award in 1993 and EFMD Fellowship at the London Business School. With extensive experience in various industries and institutions, spanning over four decades, and his ability to apply academic insights into real-world problem-solving in energy, utilities, project management cuttingacross continents, makes him amuch sought-after consultant. Rabi Narayan Subudhi is a professor of management at KIIT University, Bhubaneswar, India, and has over 30 years of teaching experience. He has also served as professor of management at Berhampur University, Odisha, and VIT, Vellore. He is President of ORSI, Bhubaneswar (Odisha) Chapter. After gaining master’s and M.Phil. degrees in statistics, he completed his Ph.D. degree (in management), with a senior fellowship from CSIR. He is also an alumnus of IIM Ahmedabad,wherehewas awarded FDPM.He haspublished fivebooksandover 50 research papers and also regularly writes articles for popular regional newspa- pers. He has presented papers at international conferences in the USA, UK, xi

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This book analyzes the underlying theoretical principles of multi-objective linear programming problems with multi-choice parameters. It studies transportation problems on the same domain with extension to fuzzy stochastic criteria, and offers insights into sensitivity analysis through symmetric dua
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