...Nanlei Chen; Bentao Su Purpose This study addresses the grey dynamic flexible job shop scheduling problem (GDFJSP), in which jobs with uncertain grey-number processing times arrive stochastically and must be dispatched in real time. It aims to develop a genetic programming algorithm that evolves...

... of alternative locations against each criterion, this paper proposes application of ordinal priority approach (OPA) integrated with grey numbers to solve an HCW disposal location selection problem. Findings The grey OPA can simultaneously estimate weights of the experts, criteria and locations relieving...

...Li Li; Xican Li Purpose In order to make full use of the generalized greyness of interval grey number, this paper analyzes the properties and its applications of generalized greyness. Design/methodology/approach Firstly, the static properties of generalized greyness in bounded background...

... with grey numbers. Design/methodology/approach Grey theory and grey numbers are used for illustrating the uncertainty of parameters in processing times and common due date, where the objective is to minimize the total earliness/tardiness duration. The paper proposes a 0–1 mathematical model...

... of grey systems and grey numbers, this paper surveys existing approaches for solving grey linear programming problems and applications. Also, methods and approaches for solving grey linear programming are classified, and its advantages and disadvantages are expressed. Findings The progress of grey...

...Nanlei Chen; Naiming Xie Purpose The purpose of this paper is to propose an uncertainty representation and information measurement method for characterizing grey numbers, estimating their internal laws and solving how to generate them based on available information data in the real world...

... concepts of primal and dual of grey linear programming problems without converting them to classical linear programming problems. A numerical example is provided to illustrate the theory developed. Findings By using arithmetic operations between interval grey numbers, the authors prove...

...Davood Darvishi; Jeffrey Forrest; Sifeng Liu Purpose Ranking and comparing grey numbers represent a very important decision-making procedure in any given grey environment. The purpose of this paper is to study the existing approaches of ordering interval grey numbers in the context of decision...

... Publishing Limited Licensed re-use rights only Grey linear programming Grey number Grey systems theory Animal diet Positioned method Animal diet is an important factor for growth, reproduction, and livestock management (Saxena et al., 2016). The diet problem was one of the first...

...Naiming Xie Purpose The purpose of this paper is to combine the interval grey number algorithm with a project scheduling model, so as to solve the interval grey number based project scheduling problem. Design/methodology/approach According to the grey system theory, if we could not clearly...

...Sifeng Liu; Handan Rui; Zhigeng Fang; Yingjie Yang; Jeffrey Forrest Purpose The purpose of this paper is to present the terms of grey numbers and its operations. Design/methodology/approach The definitions of elementary terms about grey numbers and its operations are presented one by one...

... advantageous result, to multiply the pessimistic coefficient with the most unfavourable result and to add the two together, we call it compromise income; third, to select the largest portfolio strategy from compromise income. Its mathematical model is as follows: Portfolio Decision model Grey number...

...Nai‐ming Xie Purpose The purpose of this paper is to redefine the concept of grey number with information background and to propose novel grey number algorithms. Design/methodology/approach As the basic element of a grey system, grey number is defined as a number of which the true value...