### Initializing GLPK.js Logging and Timeout in JavaScript

Source: https://github.com/hgourvest/glpk.js/blob/master/test/test.html

This JavaScript snippet initializes a logging function (`glp_print_func`) that appends output to a DOM element and logs to the console. It also implements a timeout mechanism to prevent long-running operations, throwing an error if execution exceeds 60 seconds. This function is used by GLPK.js for progress and result reporting.

```JavaScript
var start;
	var logNode = document.getElementById("log");
        var log = glp_print_func = function(value){
            var now = new Date();
	        var d = (now.getTime() - start.getTime()) / 1000;
	        logNode.appendChild(document.createTextNode(value + "\\n"));
            if (d > 60) throw new Error("timeout");
	        console.log(value);
        };
```

--------------------------------

### Solving a Linear Programming Problem with GLPK.js in JavaScript

Source: https://github.com/hgourvest/glpk.js/blob/master/test/test.html

This JavaScript function orchestrates the solution of a linear programming problem using GLPK.js. It initializes a new problem, reads the LP model from a string (presumably from a DOM element), scales the problem, applies the simplex method, and then uses the integer optimizer. Finally, it logs the objective value and the values of all columns (variables).

```JavaScript
function run(){
            start = new Date(); 
	    logNode.innerText = "";
            var lp = glp_create_prob();
            glp_read_lp_from_string(lp, null, document.getElementById("source").value);

            glp_scale_prob(lp, GLP_SF_AUTO);

            var smcp = new SMCP({presolve: GLP_ON});
            glp_simplex(lp, smcp);

            var iocp = new IOCP({presolve: GLP_ON});
            glp_intopt(lp, iocp);

            log("obj: " + glp_mip_obj_val(lp));
            for(var i = 1; i <= glp_get_num_cols(lp); i++){
                log(glp_get_col_name(lp, i)  + " = " + glp_mip_col_val(lp, i));
            }
        }
```

--------------------------------

### Defining a Linear Programming Model in GLPK LP Format

Source: https://github.com/hgourvest/glpk.js/blob/master/test/test.html

This snippet defines a linear programming problem using the GLPK LP file format. It includes an objective function to minimize, subject to equality and inequality constraints, and specifies bounds and integer requirements for variables. This format is typically used as input for GLPK solvers.

```GLPK LP Format
\* Objective function *\
Minimize obj: +17 x1_1 +23 x2_1 +16 x3_1 +19 x4_1 +18 x5_1 +21 x1_2 +16 x2_2 +20 x3_2 +19 x4_2 +19 x5_2 +22 x1_3 +21 x2_3 +16 x3_3 +22 x4_3 +15 x5_3 +18 x1_4 +16 x2_4 +25 x3_4 +22 x4_4 +15 x5_4 +24 x1_5 +17 x2_5 +24 x3_5 +20 x4_5 +21 x5_5 +15 x1_6 +16 x2_6 +16 x3_6 +16 x4_6 +25 x5_6 +20 x1_7 +19 x2_7 +17 x3_7 +19 x4_7 +16 x5_7 +18 x1_8 +25 x2_8 +19 x3_8 +17 x4_8 +16 x5_8 +19 x1_9 +18 x2_9 +19 x3_9 +21 x4_9 +23 x5_9 +18 x1_10 +21 x2_10 +18 x3_10 +19 x4_10 +15 x5_10 +16 x1_11 +17 x2_11 +20 x3_11 +25 x4_11 +22 x5_11 +22 x1_12 +15 x2_12 +16 x3_12 +23 x4_12 +17 x5_12 +24 x1_13 +25 x2_13 +17 x3_13 +25 x4_13 +19 x5_13 +24 x1_14 +17 x2_14 +21 x3_14 +25 x4_14 +22 x5_14 +16 x1_15 +24 x2_15 +24 x3_15 +25 x4_15 +24 x5_15 \* Constraints *\
Subject To one_1: +x1_1 +x2_1 +x3_1 +x4_1 +x5_1 = 1
one_2: +x1_2 +x2_2 +x3_2 +x4_2 +x5_2 = 1
one_3: +x1_3 +x2_3 +x3_3 +x4_3 +x5_3 = 1
one_4: +x1_4 +x2_4 +x3_4 +x4_4 +x5_4 = 1
one_5: +x1_5 +x2_5 +x3_5 +x4_5 +x5_5 = 1
one_6: +x1_6 +x2_6 +x3_6 +x4_6 +x5_6 = 1
one_7: +x1_7 +x2_7 +x3_7 +x4_7 +x5_7 = 1
one_8: +x1_8 +x2_8 +x3_8 +x4_8 +x5_8 = 1
one_9: +x1_9 +x2_9 +x3_9 +x4_9 +x5_9 = 1
one_10: +x1_10 +x2_10 +x3_10 +x4_10 +x5_10 = 1
one_11: +x1_11 +x2_11 +x3_11 +x4_11 +x5_11 = 1
one_12: +x1_12 +x2_12 +x3_12 +x4_12 +x5_12 = 1
one_13: +x1_13 +x2_13 +x3_13 +x4_13 +x5_13 = 1
one_14: +x1_14 +x2_14 +x3_14 +x4_14 +x5_14 = 1
one_15: +x1_15 +x2_15 +x3_15 +x4_15 +x5_15 = 1
lim_1: +8 x1_1 +15 x1_2 +14 x1_3 +23 x1_4 +8 x1_5 +16 x1_6 +8 x1_7 +25 x1_8 +9 x1_9 +17 x1_10 +25 x1_11 +15 x1_12 +10 x1_13 +8 x1_14 +24 x1_15 <= 36
lim_2: +15 x2_1 +7 x2_2 +23 x2_3 +22 x2_4 +11 x2_5 +11 x2_6 +12 x2_7 +10 x2_8 +17 x2_9 +16 x2_10 +7 x2_11 +16 x2_12 +10 x2_13 +18 x2_14 +22 x2_15 <= 34
lim_3: +21 x3_1 +20 x3_2 +6 x3_3 +22 x3_4 +24 x3_5 +10 x3_6 +24 x3_7 +9 x3_8 +21 x3_9 +14 x3_10 +11 x3_11 +14 x3_12 +11 x3_13 +19 x3_14 +16 x3_15 <= 38
lim_4: +20 x4_1 +11 x4_2 +8 x4_3 +14 x4_4 +9 x4_5 +5 x4_6 +6 x4_7 +19 x4_8 +19 x4_9 +7 x4_10 +6 x4_11 +6 x4_12 +13 x4_13 +9 x4_14 +18 x4_15 <= 27
lim_5: +8 x5_1 +13 x5_2 +13 x5_3 +13 x5_4 +10 x5_5 +20 x5_6 +25 x5_7 +16 x5_8 +16 x5_9 +17 x5_10 +10 x5_11 +10 x5_12 +5 x5_13 +12 x5_14 +23 x5_15 <= 33
\* Variable bounds *\
Bounds x1_1 <= 1 x2_1 <= 1 x3_1 <= 1 x4_1 <= 1 x5_1 <= 1
x1_2 <= 1 x2_2 <= 1 x3_2 <= 1 x4_2 <= 1 x5_2 <= 1
x1_3 <= 1 x2_3 <= 1 x3_3 <= 1 x4_3 <= 1 x5_3 <= 1
x1_4 <= 1 x2_4 <= 1 x3_4 <= 1 x4_4 <= 1 x5_4 <= 1
x1_5 <= 1 x2_5 <= 1 x3_5 <= 1 x4_5 <= 1 x5_5 <= 1
x1_6 <= 1 x2_6 <= 1 x3_6 <= 1 x4_6 <= 1 x5_6 <= 1
x1_7 <= 1 x2_7 <= 1 x3_7 <= 1 x4_7 <= 1 x5_7 <= 1
x1_8 <= 1 x2_8 <= 1 x3_8 <= 1 x4_8 <= 1 x5_8 <= 1
x1_9 <= 1 x2_9 <= 1 x3_9 <= 1 x4_9 <= 1 x5_9 <= 1
x1_10 <= 1 x2_10 <= 1 x3_10 <= 1 x4_10 <= 1 x5_10 <= 1
x1_11 <= 1 x2_11 <= 1 x3_11 <= 1 x4_11 <= 1 x5_11 <= 1
x1_12 <= 1 x2_12 <= 1 x3_12 <= 1 x4_12 <= 1 x5_12 <= 1
x1_13 <= 1 x2_13 <= 1 x3_13 <= 1 x4_13 <= 1 x5_13 <= 1
x1_14 <= 1 x2_14 <= 1 x3_14 <= 1 x4_14 <= 1 x5_14 <= 1
x1_15 <= 1 x2_15 <= 1 x3_15 <= 1 x4_15 <= 1 x5_15 <= 1
\* Integer definitions *\
General x1_1 x2_1 x3_1 x4_1 x5_1
x1_2 x2_2 x3_2 x4_2 x5_2
x1_3 x2_3 x3_3 x4_3 x5_3
x1_4 x2_4 x3_4 x4_4 x5_4
x1_5 x2_5 x3_5 x4_5 x5_5
x1_6 x2_6 x3_6 x4_6 x5_6
x1_7 x2_7 x3_7 x4_7 x5_7
x1_8 x2_8 x3_8 x4_8 x5_8
x1_9 x2_9 x3_9 x4_9 x5_9
x1_10 x2_10 x3_10 x4_10 x5_10
x1_11 x2_11 x3_11 x4_11 x5_11
x1_12 x2_12 x3_12 x4_12 x5_12
x1_13 x2_13 x3_13 x4_13 x5_13
x1_14 x2_14 x3_14 x4_14 x5_14
x1_15 x2_15 x3_15 x4_15 x5_15
End
```

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