TY  - JOUR
T1  - A Quantum Calculus Analogue of Dynamic Leontief Production Model with
Quadratic Objective Function
AU - Al Salih, Rasheed AU - Habeeb, Ali AU - Laith, Watheq 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 17
SP  - 6415
EP  - 6418
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.6415.6418
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.6415.6418
KW  - Leontief production model
KW  -quantum calculus
KW  -quadratic objective function
KW  -primal model
KW  -dual
model
KW  -duality theorems
AB  - In this study, we derive a new formulation for the dynamic Leontief production model with quadratic
objective function using quantum calculus analogue. Our new formulation unifies discrete and continuous
Leontief production models. Also, the classical Leontief production model is obtained by choosing q = 1. In
addition, we give an introduction to quantum calculus. We formulate the primal and the dual continuous
Leontief production models with quadratic objective function as well as quantum calculus models. Furthermore,
we can get upper and lower bounds for the value of production at any production plan using the quadratic
objective functions for the primal and the dual quantum calculus models. Moreover, the duality theorem for
quantum calculus analogue are established. Finally, example is given in order to show the new results.
ER  -