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V. J. Bowman Jr., “On the Relationship of the Tchebycheff Norm and the Efficient Frontier of Multiple-Criteria Objectives,” In: H. Thiriez and S. Zionts, Eds., “Multiple Criteria Decision Making,” Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Berlin, 1976, pp. 76-85.

has been cited by the following article:

• TITLE: Bi-Criteria Optimization Technique in Stochastic System Maintenance Allocation Problem

  AUTHORS: Irfan Ali, S. Suhaib Hasan

  KEYWORDS: Selective Maintenance; Weighted Tchebycheff Technique; Multi-Criteria Optimization; Stochastic Programming; Chance Constrained; Modified E-Model; System Reliability

  JOURNAL NAME: American Journal of Operations Research, Vol.3 No.1, January 30, 2013

  ABSTRACT: In this paper, the problem of optimum allocation of repairable and replaceable components in a system is formulated as a Bi-objective stochastic non linear programming problem. The system maintenance time and cost are random variable and has gamma and normal distribution respectively. A Bi-criteria optimization technique, weighted Tchebycheff is used to obtain the optimum allocation for a system. A numerical example is also presented to illustrate the computational details.