Kianfar, K., Moslehi, G., Nookabadi, A. (2016). An approximation algorithm and FPTAS for Tardy/Lost minimization with common due dates on a single machine. Journal of Industrial and Systems Engineering, 9(2), 1-19.

Kamran Kianfar; Ghasem Moslehi; Ali Shahandeh Nookabadi. "An approximation algorithm and FPTAS for Tardy/Lost minimization with common due dates on a single machine". Journal of Industrial and Systems Engineering, 9, 2, 2016, 1-19.

Kianfar, K., Moslehi, G., Nookabadi, A. (2016). 'An approximation algorithm and FPTAS for Tardy/Lost minimization with common due dates on a single machine', Journal of Industrial and Systems Engineering, 9(2), pp. 1-19.

Kianfar, K., Moslehi, G., Nookabadi, A. An approximation algorithm and FPTAS for Tardy/Lost minimization with common due dates on a single machine. Journal of Industrial and Systems Engineering, 2016; 9(2): 1-19.

An approximation algorithm and FPTAS for Tardy/Lost minimization with common due dates on a single machine

^{1}Faculty of Engineering, University of Isfahan, Isfahan, Iran.

^{2}Department of Industrial and Systems Engineering, Isfahan University of Technology

Abstract

This paper addresses the Tardy/Lost penalty minimization with common due dates on a single machine. According to this performance measure, if the tardiness of a job exceeds a predefined value, the job will be lost and penalized by a fixed value. Initially, we present a 2-approximation algorithm and examine its worst case ratio bound. Then, a pseudo-polynomial dynamic programming algorithm is developed. We show how to transform the dynamic programming algorithm to an FPTAS using the technique of "structuring the execution of an algorithm" and examine the time complexity of our FPTAS.

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