Multi-product, multi-venders inventory models with different cases of the rational function under linear and non-linear constraints via geometric programming approach

Geometric programming solution of second degree difficulty for carbon ejection controlled reliable smart production system

“…A standard inventory model with various constraints is solved by El-Wakeel and Salman [12] with a geometric programming approach, yet reliability has not been considered. Liu [22] used a geometric programming approach with a degree of difficulty of zero to find the optimum profit as a global result.…”

“…Production system Reliability Carbon Geometric Setup cost emission programming Leung [21] EPQ Production process NA Degree = 1 Variable Liu [22] NA NA NA Degree = 0 NA Liu [23] NA NA NA Signomial NA Sadjadi et al [25] NA Production process NA Considered Variable Ahmed and Sarkar [1] Sustainable NA Considered NA NA Chavarrían-Barrientos [7] Smart and sustainable NA NA NA NA Jafarian et al [17] NA NA NA Considered NA Kusiak [20] Smart NA NA NA NA Tiwari et al [31] Sustainable NA Considered NA NA Wang et al [32] Constant NA Considered NA NA Asim et al [3] Hybrid Cost NA NA Reduced Cao and Wang [5] NA NA NA Fuzzy NA Chassein and Goerigk [6] NA NA NA Robust NA Dressler et al [11] NA NA NA Considered NA El-Wakeel et al [12] NA NA NA Considered NA Ghavami et al [13] NA NA NA Fuzzy NA Guchhait et al [16] Constant Unreliable SCM NA NA NA Sarkar [26] Multi-stage, multi-cycle NA NA NA Reduced Alavian et al [2] Smart NA NA NA NA Ghobakhloo [14] Smart NA NA NA NA Nahas [24] Production line Unreliable NA NA NA Sarkar et al [27] Single-stage, clean NA NA NA Constant Sarkar and Sarkar [30] Sustainable, smart, NA Considered NA Reduced multi-stage Bermeo-Ayerbe et al [4] Smart NA NA NA NA Chen et al [8] Multi…”

A new approach to evaluate linear programming problem in pentagonal neutrosophic environment

“…Later, Chakraborty et al [ 23 ] introduced the idea of aggregation operator on PNN and applied it in MCGDM section, networking field and graph theory problem [ 24 , 25 ].Several articles are created in neutron-logic domain like, Basset et al [ 26 ] proposed type- 2 NS, Deli et al [ 27 ] pioneered the thought of bipolar NS, Nabeeh et al [ 28 ] categorized neutrosophic AHP skill, Chakraborty et al [ 29 , 30 ] initiated cylindrical neutrosophic logic, Pal [ 31 ] created EOQ model using NS, Haque [ 32 ] suggested generalized spherical set concept etc. Recently, numerous articles are published in netro-logic based operation research problem like Hariri and Ata [ 33 ] germinated GP approach to solve inventory model varying order cost, Jung and Klein [ 34 , 35 ] manifested comparative study between the total cost minimization and the profit maximization model, Mandal et al [ 36 ] introduced inventory model of declined items utilizing GP method, Leung [ 37 ] manifested an EPQ model having flexible and imperfect production method using GP approach, Wakeel et al [ 38 ] proposed multi-product, multi-vendors inventory models under linear and non-linear constraints, Roy and Das [ 39 ] resolved multi objective production planning problem in neutro-logic arena.…”

An inventory model with credit, price and marketing dependent demand under permitted delayed payments and shortages: A signomial geometric programming approach

“…These assumptions convert the model to a nonlinear programing problem. According to the literature, to solve these kinds of nonlinear problems in inventory models Geometric Programing (GP) method is applied frequently (El-Wakeel & Al Salman, 2018;Mandal, 2016;Sadjadi et al, 2010;Samadi et al, 2013;Tabatabaei et al, 2017). GP problem was discovered by Zener (1971) for solving engineering problems where objective functions were positive sums of log-linear functions.…”