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Capacitated Lot Sizing Problems in Process Industries

  • Examines Capacitated Lot Sizing Problems (CLSP) in process industries with products having long/short setup times

  • Highlights real-life scenarios/considerations in process industries such as production starting immediately after setup and uninterrupted production carryover across successive time periods

  • Develops mathematical models and heuristics to address a class of problems in CLSP present in process industries, along with such real-life considerations, and possible sequence-dependent setup times and costs

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XXXV
  2. Introduction

    • Ravi Ramya, Chandrasekharan Rajendran, Hans Ziegler, Sanjay Mohapatra, K. Ganesh
    Pages 1-31
  3. CLSP: Real Life Applications and Motivation to Study Lot Sizing Problems in Process Industries

    • Ravi Ramya, Chandrasekharan Rajendran, Hans Ziegler, Sanjay Mohapatra, K. Ganesh
    Pages 33-45
  4. Summary Concerning Theoretical Developments

    • Ravi Ramya, Chandrasekharan Rajendran, Hans Ziegler, Sanjay Mohapatra, K. Ganesh
    Pages 183-186
  5. Back Matter

    Pages 187-196

About this book

This book examines the Capacitated Lot Sizing Problem (CLSP) in process industries. In almost all process industries, there are situations where products have short/long setup times, and the setup of the product and its subsequent production are carried over, across consecutive periods. The setup of a product is carried over across more than one successive period in the case of products having long setup times. A product having short setup has its setup time less than the capacity of the period in which it is setup. The setup is immediately followed by its production of the product and it may also be carried over, across successive time period(s). Many process industries require production of a product to occur immediately after its setup (without the presence of idle time between the setup and production of the product), and they also require the product to be continuously produced without any interruption. This book considers a single-machine, single-level and multiple-item CLSP problem. This book introduces the Capacitated Lot Sizing Problem with Production Carryover and Setup Crossover across periods (CLSP-PCSC). Mathematical models are proposed which are all encompassing that they can handle continuous manufacturing (as in process industries), and also situations where the setup costs and holding costs are product dependent and time independent/time dependent, with possible backorders, and with other appropriate adaptations.  Comprehensive heuristics are proposed based on these mathematical models to solve the CLSP-PCSC. The performance of the proposed models and heuristics are evaluated using problem instances of various sizes. This book also covers mathematical models developed for the Capacitated Lot Sizing Problem with Production Carryover and Setup Crossover across periods, and with Sequence-Dependent Setup Times and Setup Costs (CLSP-SD-PCSC). These models allow the presence of backorders and also address real-life situations present in process industries such as production of a product starting immediately after its setup and its uninterrupted production carryover across periods, along with the presence of short/long setup times. Heuristics proposed for the CLSP-PCSC can be extended to address the CLSP problem with sequence dependent setup costs and setup times. All the models and heuristics proposed in this book address some real-life considerations present in process industries.

Authors and Affiliations

  • Department of Management Studies, Indian Institute of Technology Madras, Chennai, TN, India

    Ravi Ramya, Chandrasekharan Rajendran

  • Chair of Production and Logistics, Universitát Passau, Passau, Germany

    Hans Ziegler

  • Xavier Institute of Management, Bhubaneswar, India

    Sanjay Mohapatra

  • SCM Center of Competence, McKinsey Knowledge Center, McKinsey & Company, Chennai, TN, India

    K. Ganesh

About the authors

Ramya Ravi currently works in Caterpillar India Private Limited at Chennai, India. She completed Bachelor of Engineering in Electrical and Electronics Engineering at Sri Chandrasekharendra Saraswati Viswa Mahavidhyala University in 2008. She completed Master of Engineering in Industrial Engineering at Thiagarajar College of Engineering, Madurai (Anna University) in 2011. Thereafter, she received Ph.D. in Operations Management from IIT Madras in 2017. Her research interests include Supply Chain Management, Inventory Optimization, Production Planning and Scheduling, and Analytics. She has a publication in International Journal of Production Research, and she has attended international conferences, both in India and abroad. 

Chandrasekharan Rajendran is a Professor in the Department of Management Studies at IIT Madras, India. He holds RAGS Family Foundation Institute Chair in IIT Madras. He has been serving on the faculty of IIT Madras since 1987. His research interests include Operations and Supply Chain Management, Logistics and Distribution Management, Scheduling in Manufacturing and Service Systems, Optimization and Heuristic Techniques, Simulation Modeling, and Quality Management. He is a recipient of Alexander von Humboldt Research Fellowship of Germany and he is also a Visiting Professor in University of Passau, Germany. He has been conferred Dr. rer. pol. h.c. (Doctor of Business Administration and Economics (Honoris Causa)) by University of Passau for his outstanding achievements and contributions to research. He has been ranked among the best researchers, both in India and world-wide, in Operations Management. 


Hans Ziegler has his Diploma from University of Karlsruhe (TH) (now called Karlsruhe Institute of Technology), and PhD and Post-doctoral Habilitation from University of Paderborn. He had been on the faculty of Universities of Paderborn and Darmstadt, before moving to University of Passau where he holds the Chair for Production, Operations and Logistics Management (since 1991). He has research interests in Operations Research, Production and Operations Management, Supply Chain and Logistics Management, Scheduling in Manufacturing and Service Systems, and Inventory Management. Prof. Ziegler has publications in many renowned international journals such as Computers and Industrial Engineering, Computers and Operations Research, Engineering Costs and Production Economics, European Journal of Operational Research, International Journal of Advanced Manufacturing and Technology, International Journal of Production Research, Production Planning and Control, Operations Research Letters, OR Spektrum, and Zeitschrift fuer Operations Research.


Sanjay Mohapatra received his B.E. from NIT Rourkela, M.Tech from IIT Madras, PGDBM XIMB, India and has finished his Ph.D. from Utkal University, India under Management Department. At present, he is an Associate Professor in Information Systems in XIMB, India. Professor Mohapatra has more than 21 years of industry experience. He has worked in various capacities in organizations like Hindustan Aeronautics Limited, Larsen & Toubro, PricewaterHouse, Infosys, Polaris & J&B Software. His teaching interests are in IT Strategy and Management Information Systems and research interests are in the area of IT enabled processes. He has authored/co-authored nine books and more than twenty papers in peer reviewed international journals.


Dr. K.Ganesh is Senior Knowledge Expert and Global Lead of “supply chain management center of competence” at McKinsey & Company, Chennai, India. He has graduated in Production Engineering from Annamalai University with the university first rank. He pursued his Masters’ degree in Industrial Engineering at NIT Trichy and secured college first. He then moved to IIT Madras where he obtained his doctoral degree in Supply Chain. He is having total 14 years of research and consulting experience in the supply chain consulting and worked with top consulting firms such as TCS and IBM. He has published more than 100 papers in leading international research and written 10 international books. He is himself a lyricist and has written several poems in both English and Tamil.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access