Int J Performability Eng ›› 2022, Vol. 18 ›› Issue (12): 863-873.doi: 10.23940/ijpe.22.12.p4.863873

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Analysis of Multiple Constraints and Strategic Investment Decision with Proposed Algorithm

P. S. Chakrabortya,*, S. Nallusamya, D. Sobyab, G. Majumdarc, and Bijan Sarkard   

  1. aDepartment of Adult, Continuing Education and Extension, Jadavpur University, Kolkata, 700032, India;
    bDepartment of Electronics and Communication Engineering, Rajarajeswari College of Engineering, Bengaluru, 560074, India;
    cDepartment of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India;
    dDepartment of Production Engineering, Jadavpur University, Kolkata, 700032, India
  • Submitted on ; Revised on ; Accepted on
  • Contact: * E-mail address:

Abstract: As a consequence of fierce global competition and a shorter product life cycle, sometimes demand from the market exceeds the manufacturing capacity of the organization. Under such situations constrained resources limit production capacity through the first part of this paper, an attempt has been made to find out the optimal product mix in case of multiple constraints by using the Theory of Constraints (TOC) and Linear-Integer Programming (LIP). In this case of multiple resource constraints, the throughput generated by TOC is more than that of LIP, but the solution, provided by TOC, was found infeasible. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is used for to recital assessment of investment alternatives with a view to exploring the opportunity embedded in multiple resource constraint problems. Capital investment is a major decisive factor in any investment process and it has to be separately emphasized. In the final section an algorithm, holistic in nature, is proposed to find out the best alternative in a utopian environment. The proposed algorithm is a hybrid of TOPSIS and capital investment. To make an eclectic decision sensitivity analysis was also reported.

Key words: theory of constraints, linear integer programming, strategic investment, topsis, algorithm, sensitivity analysis